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Finding the Fourth Proportional to 13,814.31, 19,058.72 and 7,842.52

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Solution

The fourth proportional to 13,814.31, 19,058.72 and 7,842.52 is: 10,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.31 : 19,058.72 = 7,842.52 : x
  2. Step 2: Convert to fraction form
    13,814.31/19,058.72 = 7,842.52/x
  3. Step 3: Cross multiply
    13,814.31x = 19,058.72 × 7,842.52
  4. Step 4: Simplify right side
    13,814.31x = 149,468,399.44
  5. Step 5: Solve for x
    x = 149,468,399.44/13,814.31
  6. Step 6: Final answer
    x = 10,819.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.